Stabilizing boundary control of uncertain heat equations

Author

Rebiai, Salah E. ; Zinober, Alan S I

Author_Institution

Dept. of Appl. & Comput. Math., Sheffield Univ., UK

fYear

1991

fDate

11-13 Dec 1991

Firstpage

2142

Abstract

A deterministic approach to the design of stabilizing feedback controls for a class of infinite-dimensional systems is studied. The systems under investigation are nominally linear and time-invariant containing uncertainties which are linear and time-invariant. State feedback controllers which guarantee the uniform exponential (or asymptotic) stability of the zero state can be designed solely using the knowledge of the structure and the bounds of the uncertainties. The construction of these controllers is based on Lyapunov and Datko theory

Keywords

Lyapunov methods; control system synthesis; distributed parameter systems; feedback; heat; linear systems; multidimensional systems; stability; Datko theory; Lyapunov theory; boundary control; control system synthesis; deterministic approach; infinite-dimensional systems; linear time-invariant systems; stabilizing feedback controls; state feedback; uncertain heat equations; Asymptotic stability; Control systems; Equations; Feedback control; Mathematics; State feedback; Temperature control; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261515

Filename

261515